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# South Dakota Standards Seventh Grade Mathematics resources

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Algebra: Students will use the language of algebra to explore, describe, represent, and analyze number expressions and relations that represent variable quantities.

7.A.1. Use procedures to transform algebraic expressions.

7.A.1.1. Application: Students are able to write and evaluate algebraic expressions using the set of whole numbers.

7.A.1.1.a. Use replacement values for variables.

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

7.A.1.1.b. Use order of operations.

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

7.A.1.2. Knowledge: Students are able to identify associative, commutative, distributive, and identity properties involving algebraic expressions.

Flip Charts Algebra Skills

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Inequalities

Flip Charts Inequalities

Flip Charts Introduction to Functions

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Multistep Equations

Flip Charts Multistep Equations

Flip Charts Nonlinear Functions & Set Theory

Flip Charts Slope

Flip Charts Solving Equations

Flip Charts Solving Equations

Flip Charts Systems of Equations

Flip Charts Systems of Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Formulas

Quiz, Flash Cards, Worksheet, Game & Study Guide Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Functions

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

Quiz, Flash Cards, Worksheet, Game & Study Guide Nonlinear Functions and Set Theory

Quiz, Flash Cards, Worksheet, Game & Study Guide One & Two Step Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Order of Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Polynomials and Exponents

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Solving linear equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

7.A.2. Use a variety of algebraic concepts and methods to solve equations and inequalities.

7.A.2.1. Application: Students are able to write and solve one-step 1st degree equations, with one variable, using the set of integers and inequalities, with one variable, using the set of whole numbers.

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts Solving Equations

Flip Charts Solving Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Algebraic Equations

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Equations and Inequalities

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Algebra

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Algebra

7.A.3. Interpret and develop mathematical models.

7.A.3.1. Application: Students are able to identify and graph ordered pairs on a coordinate plane and inequalities on a number line.

7.A.3.1.a. Use a scatterplot to draw an approximate line of best fit in a coordinate plane.

Quiz, Flash Cards, Worksheet, Game & Study Guide Linear relationships

7.A.3.2. Application: Students are able to model and solve multi-step problems involving rates.

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

7.A.4. Describe and use properties and behaviors of relations, functions, and inverses.

7.A.4.1. Application: Students are able to recognize one-step patterns using tables, graphs, and models and create one-step algebraic expressions representing the pattern.

7.A.4.1.a. Identify arithmetic and geometric sequences.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

7.A.4.1.b. Extend arithmetic and geometric sequences.

Flip Charts Arithmetic & Sequences

Flip Charts Circle Around

Flip Charts Math Grade 8

Quiz, Flash Cards, Worksheet, Game & Study Guide Sequences

Geometry: Students will use the language of geometry to discover, analyze, and communicate geometric concepts, properties, and relationships.

7.G.1. Use deductive and inductive reasoning to recognize and apply properties of geometric figures.

7.G.1.1. Application: Students are able to identify, describe, and classify polygons having up to 10 sides.

Flip Charts Math Grade 8

Flip Charts Plane Geometry

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane figures

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

7.G.1.2. Knowledge: Students are able to identify and describe elements of geometric figures. (Altitude, Midpoint, Bisector, Radius, Diameter, Chord)

Flip Charts Area & Circumference of Circles

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Perimeter & Area

Flip Charts Shape Up

Flip Charts Surface Area of Solid Figures

Quiz, Flash Cards, Worksheet, Game & Study Guide Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Area and Circumference of Circles

Quiz, Flash Cards, Worksheet, Game & Study Guide Diameter of Circle

Quiz, Flash Cards, Worksheet, Game & Study Guide Exploring Area and Surface Area

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

Quiz, Flash Cards, Worksheet, Game & Study Guide Perimeter and area

7.G.2. Use properties of geometric figures to solve problems from a variety of perspectives.

7.G.2.1. Application: Students are able to demonstrate ways that shapes can be transformed. (Translation, Rotation, Reflection)

Measurement: Students will apply systems of measurement and use appropriate measurement tools to describe and analyze the world around them.

7.M.1. Apply measurement concepts in practical applications.

7.M.1.1. Comprehension: Students are able to select, use, and convert appropriate units of measurement for a situation including capacity and angle measurement.

7.M.1.1.a. Measure angles less than or equal to 180 degrees to the nearest degree.

Quiz, Flash Cards, Worksheet, Game & Study Guide Plane Figures: Lines and Angles

7.M.1.1.b. Measure length, capacity, and mass.

Flip Charts Dot to Dot

Flip Charts Finding Volume

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Finding Volume

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement, Perimeter, and Circumference

Quiz, Flash Cards, Worksheet, Game & Study Guide Three dimensional geometry/Measurement

Quiz, Flash Cards, Worksheet, Game & Study Guide Volume

7.M.1.1.c. Convert within the Metric system (kilo- thru milli-).

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

7.M.1.1.d. Convert within the U.S. Customary system (weight, length, capacity).

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

7.M.1.2. Comprehension: Students, when given the formulas, are able to find circumference, perimeter, and area of circles, parallelograms, triangles, and trapezoids (whole number measurements).

7.M.1.2.a. Use appropriate unit of measure.

Quiz, Flash Cards, Worksheet, Game & Study Guide Measurement

Number Sense: Students will develop and use number sense to investigate the characteristics of numbers in a variety of forms and modes of operation.

7.N.1. Analyze the structural characteristics of the real number system and its various subsystems. Analyze the concept of value, magnitude, and relative magnitude of real numbers.

7.N.1.1. Comprehension: Students are able to represent numbers in a variety of forms by describing, ordering, and comparing integers, decimals, percents, and fractions.

7.N.1.1.a. Describe and compare numbers using ratios including appropriate notation,

Flip Charts Applying Percents

Flip Charts Box It Up

Flip Charts Math Grade 8

Flip Charts Math: Grade 7

Flip Charts Numerical & Geometric Proportions

Flip Charts Ratios, Rates & Proportions

Flip Charts The Real Numbers

Flip Charts Triangle Tricks

Quiz, Flash Cards, Worksheet, Game & Study Guide Numbers and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Numerical Proportions

Quiz, Flash Cards, Worksheet, Game & Study Guide Proportions/Equivalent Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratio

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Similarity and scale

Quiz, Flash Cards, Worksheet, Game & Study Guide Simple Proportions

7.N.1.2. Application: Students are able to find and use common multiples and factors of whole numbers.

7.N.1.2.b. Greatest Common Factor

Flip Charts Exponents, Factors & Multiples

Flip Charts Math: Grade 7

7.N.2. Apply number operations with real numbers and other number systems.

7.N.2.1. Application: Students are able to add, subtract, multiply, and divide integers and positive fractions.

Flip Charts Adding & Subtracting Integers

Flip Charts Adding & Subtracting Integers

Flip Charts Integers & Exponents

Flip Charts Math Grade 6

Flip Charts Math Grade 8

Flip Charts Multiplying & Dividing Integers

Flip Charts Multiplying & Dividing Integers

Quiz, Flash Cards, Worksheet, Game & Study Guide Add/Subtract Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Adding Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Fraction Operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Integer operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Multiply/Divide Fractions

Quiz, Flash Cards, Worksheet, Game & Study Guide Rational numbers and operations

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Integers

7.N.3. Develop conjectures, predictions, or estimations to solve problems and verify or justify the results.

7.N.3.1. Application: Students are able to use various strategies to solve one- and two-step problems involving positive fractions and integers.

7.N.3.1.b. Use estimation strategies to make predictions and test the reasonableness of the answer.

Quiz, Flash Cards, Worksheet, Game & Study Guide Estimation

Statistics & Probability: Students will apply statistical methods to analyze data and explore probability for making decisions and predictions.

7.S.1. Use statistical models to gather, analyze, and display data to draw conclusions.

7.S.1.1. Comprehension: Students are able to find the mean, median, mode, and range of a set of data.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Collecting and describing data

Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Statistics

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

7.S.1.2. Application: Students are able to display data, using frequency tables, line plots, stem-and-leaf plots, and make predictions from data displayed in a graph.

Flip Charts Math Grade 8

Flip Charts Organizing & Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Analyzing, Graphing and Displaying Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Graphs

Quiz, Flash Cards, Worksheet, Game & Study Guide Organizing Data

Quiz, Flash Cards, Worksheet, Game & Study Guide Tables

Quiz, Flash Cards, Worksheet, Game & Study Guide Using graphs to analyze data

7.S.2. Apply the concepts of probability to predict events/outcomes and solve problems.

7.S.2.1. Comprehension: Students are able, given a sample space, to find the probability of a specific outcome.

7.S.2.1.a. Simple probability.

Flip Charts Introduction to Probability

Flip Charts Math: Grade 7

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Theoretical probability and counting

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability

7.S.2.1.b. Express probability as a ratio, decimal, or percent.

Quiz, Flash Cards, Worksheet, Game & Study Guide Experimental Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Introduction to Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Probability

Quiz, Flash Cards, Worksheet, Game & Study Guide Ratios, proportions and percents

Quiz, Flash Cards, Worksheet, Game & Study Guide Using Probability